Use the Properties of Logarithms to Expand the Quantity $11 \ln \sqrt { a \left( b ^ { 2 } + c ^ { 2 } \right) }$

Multiple Choice

Use the properties of logarithms to expand the quantity. $11 \ln \sqrt { a \left( b ^ { 2 } + c ^ { 2 } \right) }$

A) $\frac { \ln ( a ) } { 11 } + \frac { \ln ( 2 b + 2 c ) } { 11 }$
B) $\frac { 11 \ln ( a ) } { 2 } + \frac { 11 \ln \left( b ^ { 2 } + c ^ { 2 } \right) } { 2 }$
C) $11 \ln ( a ) - 11 \ln \left( b ^ { 2 } + c ^ { 2 } \right)$
D) $\frac { \ln ( a ) } { 11 } - \frac { \ln \left( b ^ { 2 } + c ^ { 2 } \right) } { 11 }$
E) $11 \ln ( a ) + 11 \ln \left( b ^ { 2 } + c ^ { 2 } \right)$